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Finding the Fourth Proportional to 29,319.32, 43,906.06 and 20,513

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Solution

The fourth proportional to 29,319.32, 43,906.06 and 20,513 is: 30,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,319.32 : 43,906.06 = 20,513 : x
  2. Step 2: Convert to fraction form
    29,319.32/43,906.06 = 20,513/x
  3. Step 3: Cross multiply
    29,319.32x = 43,906.06 × 20,513
  4. Step 4: Simplify right side
    29,319.32x = 900,645,008.78
  5. Step 5: Solve for x
    x = 900,645,008.78/29,319.32
  6. Step 6: Final answer
    x = 30,718.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.